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Finding the Fourth Proportional to 652,283.20, 978,424.80 and 403,451.20

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Solution

The fourth proportional to 652,283.20, 978,424.80 and 403,451.20 is: 605,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,283.20 : 978,424.80 = 403,451.20 : x
  2. Step 2: Convert to fraction form
    652,283.20/978,424.80 = 403,451.20/x
  3. Step 3: Cross multiply
    652,283.20x = 978,424.80 × 403,451.20
  4. Step 4: Simplify right side
    652,283.20x = 394,746,659,669.76
  5. Step 5: Solve for x
    x = 394,746,659,669.76/652,283.20
  6. Step 6: Final answer
    x = 605,176.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.